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Series Of Independent Random Variable In Rearrangement Invariant Spaces An Operator Approach


Series Of Independent Random Variable In Rearrangement Invariant Spaces An Operator Approach
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Series Of Independent Random Variable In Rearrangement Invariant Spaces An Operator Approach


Series Of Independent Random Variable In Rearrangement Invariant Spaces An Operator Approach
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Author : S. V. Astashkin
language : en
Publisher:
Release Date : 2005

Series Of Independent Random Variable In Rearrangement Invariant Spaces An Operator Approach written by S. V. Astashkin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Convergence categories.




Independent Random Variables And Rearrangement Invariant Spaces


Independent Random Variables And Rearrangement Invariant Spaces
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Author : Michael Sh Braverman
language : en
Publisher: Cambridge University Press
Release Date : 1994-10-20

Independent Random Variables And Rearrangement Invariant Spaces written by Michael Sh Braverman and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-10-20 with Mathematics categories.


Professor Braverman investigates independent random variables in rearrangement invariant (r.i.) spaces.



The Rademacher System In Function Spaces


The Rademacher System In Function Spaces
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Author : Sergey V. Astashkin
language : en
Publisher: Springer Nature
Release Date : 2020-07-27

The Rademacher System In Function Spaces written by Sergey V. Astashkin and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-27 with Mathematics categories.


This book presents a systematic treatment of the Rademacher system, one of the most important unifying concepts in mathematics, and includes a number of recent important and beautiful results related to the Rademacher functions. The book discusses the relationship between the properties of the Rademacher system and geometry of some function spaces. It consists of three parts, in which this system is considered respectively in Lp-spaces, in general symmetric spaces and in certain classes of non-symmetric spaces (BMO, Paley, Cesaro, Morrey). The presentation is clear and transparent, providing all main results with detailed proofs. Moreover, literary and historical comments are given at the end of each chapter. This book will be suitable for graduate students and researchers interested in functional analysis, theory of functions and geometry of Banach spaces.



Methods In Banach Space Theory


Methods In Banach Space Theory
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Author : Jesus M. F. Castillo
language : en
Publisher: Cambridge University Press
Release Date : 2006-11-30

Methods In Banach Space Theory written by Jesus M. F. Castillo and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-30 with Mathematics categories.


A comprehensive overview of modern Banach space theory.



Surveys In Combinatorics 2001


Surveys In Combinatorics 2001
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Author : James William Peter Hirschfeld
language : en
Publisher: Cambridge University Press
Release Date : 2001

Surveys In Combinatorics 2001 written by James William Peter Hirschfeld and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Combinatorial analysis categories.


The British Combinatorial Conference is held every two years and is now a key event for mathematicians worldwide, working in combinatorics. This volume is published on the occasion of the 18th meeting, which was held 1st-6th July 2001 at the University of Sussex. The papers contained here are surveys contributed by the invited speakers, and are thus of a quality befitting the event. There is also a tribute to Crispin Nash-Williams, past chairman of the British Combinatorial Committee. The diversity of the subjects covered means that this will be a valuable reference for researchers in combinatorics. However, graduate students will also find much here that could be of use for stimulating future research.



Quantum Groups And Lie Theory


Quantum Groups And Lie Theory
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Author : Andrew Pressley
language : en
Publisher: Cambridge University Press
Release Date : 2002-01-17

Quantum Groups And Lie Theory written by Andrew Pressley and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-01-17 with Mathematics categories.


Since its genesis in the early 1980s, the subject of quantum groups has grown rapidly. By the late 1990s most of the foundational issues had been resolved and many of the outstanding problems clearly formulated. To take stock and to discuss the most fruitful directions for future research many of the world's leading figures in this area met at the Durham Symposium on Quantum Groups in the summer of 1999, and this volume provides an excellent overview of the material presented there. It includes important surveys of both cyclotomic Hecke algebras and the dynamical Yang-Baxter equation. Plus contributions which treat the construction and classification of quantum groups or the associated solutions of the quantum Yang-Baxter equation. The representation theory of quantum groups is discussed, as is the function algebra approach to quantum groups, and there is a new look at the origins of quantum groups in the theory of integrable systems.



A Quantum Groups Primer


A Quantum Groups Primer
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Author : Shahn Majid
language : en
Publisher: Cambridge University Press
Release Date : 2002-04-04

A Quantum Groups Primer written by Shahn Majid and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-04-04 with Mathematics categories.


This book provides a self-contained introduction to quantum groups as algebraic objects. Based on the author's lecture notes for the Part III pure mathematics course at Cambridge University, it is suitable for use as a textbook for graduate courses in quantum groups or as supplement to modern courses in advanced algebra. The book assumes a background knowledge of basic algebra and linear algebra. Some familiarity with semisimple Lie algebras would also be helpful. The book is aimed as a primer for mathematicians but will also be useful for mathematical physicists.



Singularities Of Plane Curves


Singularities Of Plane Curves
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Author : Eduardo Casas-Alvero
language : en
Publisher: Cambridge University Press
Release Date : 2000-08-31

Singularities Of Plane Curves written by Eduardo Casas-Alvero and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-08-31 with Mathematics categories.


Comprehensive and self-contained exposition of singularities of plane curves, including new, previously unpublished results.



Rational Points On Curves Over Finite Fields


Rational Points On Curves Over Finite Fields
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Author : Harald Niederreiter
language : en
Publisher: Cambridge University Press
Release Date : 2001-06-14

Rational Points On Curves Over Finite Fields written by Harald Niederreiter and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-06-14 with Computers categories.


Ever since the seminal work of Goppa on algebraic-geometry codes, rational points on algebraic curves over finite fields have been an important research topic for algebraic geometers and coding theorists. The focus in this application of algebraic geometry to coding theory is on algebraic curves over finite fields with many rational points (relative to the genus). Recently, the authors discovered another important application of such curves, namely to the construction of low-discrepancy sequences. These sequences are needed for numerical methods in areas as diverse as computational physics and mathematical finance. This has given additional impetus to the theory of, and the search for, algebraic curves over finite fields with many rational points. This book aims to sum up the theoretical work on algebraic curves over finite fields with many rational points and to discuss the applications of such curves to algebraic coding theory and the construction of low-discrepancy sequences.



Clifford Algebras And Spinors


Clifford Algebras And Spinors
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Author : Pertti Lounesto
language : en
Publisher: Cambridge University Press
Release Date : 2001-05-03

Clifford Algebras And Spinors written by Pertti Lounesto and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-05-03 with Mathematics categories.


In this book, Professor Lounesto offers a unique introduction to Clifford algebras and spinors. The initial chapters could be read by undergraduates; vectors, complex numbers and quaternions are introduced with an eye on Clifford algebras. The next chapters will also interest physicists, and include treatments of the quantum mechanics of the electron, electromagnetism and special relativity with a flavour of Clifford algebras. This book also gives the first comprehensive survey of recent research on Clifford algebras. A new classification of spinors is introduced, based on bilinear covariants of physical observables. This reveals a new class of spinors, residing between the Weyl, Majorana and Dirac spinors. Scalar products of spinors are classified by involutory anti-automorphisms of Clifford algebras. This leads to the chessboard of automorphism groups of scalar products of spinors. On the analytic side, Brauer-Wall groups and Witt rings are discussed, and Caucy's integral formula is generalized to higher dimensions.